• Corpus ID: 252567928

# Assouad-type Dimensions of Overlapping Self-affine Sets

@inproceedings{Fraser2022AssouadtypeDO,
title={Assouad-type Dimensions of Overlapping Self-affine Sets},
author={Jonathan M. Fraser and Alexandra Rutar},
year={2022}
}
• Published 28 September 2022
• Mathematics
A BSTRACT . We study the Assouad and quasi-Assoaud dimensions of dominated rectangular self-afﬁne sets in the plane. In contrast to previous work on the dimension theory of self-afﬁne sets, we assume that the sets satisfy certain separation conditions on the projection to the principal axis, but otherwise have arbitrary overlaps in the plane. We introduce and study regularity properties of a certain symbolic non-autonomous iterated function system corresponding to “symbolic slices” of the self…

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